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Finding the Fourth Proportional to 36,729, 50,686.20 and 19,962

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Solution

The fourth proportional to 36,729, 50,686.20 and 19,962 is: 27,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,729 : 50,686.20 = 19,962 : x
  2. Step 2: Convert to fraction form
    36,729/50,686.20 = 19,962/x
  3. Step 3: Cross multiply
    36,729x = 50,686.20 × 19,962
  4. Step 4: Simplify right side
    36,729x = 1,011,797,924.40
  5. Step 5: Solve for x
    x = 1,011,797,924.40/36,729
  6. Step 6: Final answer
    x = 27,547.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.